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2(x+9)-2=46-3x
We move all terms to the left:
2(x+9)-2-(46-3x)=0
We add all the numbers together, and all the variables
2(x+9)-(-3x+46)-2=0
We multiply parentheses
2x-(-3x+46)+18-2=0
We get rid of parentheses
2x+3x-46+18-2=0
We add all the numbers together, and all the variables
5x-30=0
We move all terms containing x to the left, all other terms to the right
5x=30
x=30/5
x=6
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